An ordering of dependence for contingency tables

DOI10.1016/0024-3795(85)90045-XzbMath0601.62075MaRDI QIDQ1081246

Joe, Harry

Publication date: 1985

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

majorizationcontingency tablesNecessary and sufficient conditionsdiscrete bivariate distributionsmatrices with fixed marginal sumsmaximal and minimal matricesnetwork algorithm of Mehta and PatelP-value of Fisher's exact testSchur concave functions

Mathematics Subject Classification ID

Contingency tables (62H17) Basic linear algebra (15A99)

Related Items

Updating exactP- values for the conditional likelihood ratio test of independence ⋮ Majorization and divergence ⋮ Statistical enumeration of groups by double cosets ⋮ Extreme probabilities for contingency tables under row and column independence with application to fisher's exact test ⋮ Global dependence stochastic orders ⋮ An ordering of dependence for distribution ofK-tuples, with applications to lotto games ⋮ Use of primal-dual technique in the network algorithm for two-way contingency tables ⋮ A journey beyond the Gaussian world. An interview with Harry Joe ⋮ Some recent developments on majorization inequalities in probability and statistics

Cites Work

• A Network Algorithm for Performing Fisher's Exact Test in r × c Contingency Tables
• Inequalities for distributions with given marginals
• Term ranks and permanents of nonnegative matrices
• Convex Sets of Non-Negative Matrices
• Inequalities: theory of majorization and its applications